The calculator below solves the quadratic equation of Show
ax2 + bx + c = 0 .  In algebra, a quadratic equation is any polynomial equation of the second degree with the following form: ax2 + bx + c = 0 where x is an unknown, a is referred to as the quadratic coefficient, b the linear coefficient, and c the constant. The numerals a, b, and c are coefficients of the equation, and they represent known numbers. For example, a cannot be 0, or the equation would be linear rather than quadratic. A quadratic equation can be solved in multiple ways, including factoring, using the quadratic formula, completing the square, or graphing. Only the use of the quadratic formula, as well as the basics of completing the square, will be discussed here (since the derivation of the formula involves completing the square). Below is the quadratic formula, as well as its derivation. Derivation of the Quadratic FormulaFrom this point, it is possible to complete the square using the relationship that: x2 + bx + c = (x - h)2 + k Continuing the derivation using this relationship: Recall that the ± exists as a function of computing a square root, making both positive and negative roots solutions of the quadratic equation. The x values found through the quadratic formula are roots of the quadratic equation that represent the x values where any parabola crosses the x-axis. Furthermore, the quadratic formula also provides the axis of symmetry of the parabola. This is demonstrated by the graph provided below. Note that the quadratic formula actually has many real-world applications, such as calculating areas, projectile trajectories, and speed, among others.
Quadratic Formula CalculatorWhat do you want to calculate?Example: 2x^2-5x-3=0 Step-By-Step ExampleLearn step-by-step how to use the quadratic formula! Example (Click to try)2x2−5x−3=0 About the quadratic formulaSolve an equation of the form ax2+bx+c=0 by using the quadratic formula: x=
Quadratic Formula Video LessonSolve with the Quadratic Formula Step-by-Step [1:29] Need more problem types? Try MathPapa Algebra Calculator
What are quadratic functions?Quadratic functions are functions of the form . This means, there is no x to a higher power than . The graph of a quadratic function is a parabola. How do you find the x intercept of a quadratic function calculator?To find the X-intercepts of a quadratic function, follow the steps below. Step 1: On a graphing calculator, press [y=]. Step 2: Enter −x2+4x+2 − x 2 + 4 x + 2 at the prompt "Y1= ". Step 3: Press [2nd][trace].
What is the X intercept of the function calculator?The x-intercept is the name given to the intersection point of the function/line with the x-axis (abscissa) for the ordinate value y = 0 (origin).
How do you find the xTo find the x-intercept we set y = 0 and solve the equation for x. This is because when y=0 the line crosses the x-axis. When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable.
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X intercepts of a quadratic function calculator
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